Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31552b |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1497610140692512768 = -1 · 232 · 17 · 295 |
Discriminant |
Eigenvalues |
2+ 2 0 1 4 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,221887,-43065535] |
[a1,a2,a3,a4,a6] |
Generators |
[15401150439018432577:-682441286950657431648:8291346927327199] |
Generators of the group modulo torsion |
j |
4608689059523375/5712929308672 |
j-invariant |
L |
9.0318337644171 |
L(r)(E,1)/r! |
Ω |
0.14381218581787 |
Real period |
R |
31.401489773112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552o1 986e1 |
Quadratic twists by: -4 8 |